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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Amir Kamal Amir
Universitas Hasanuddin
Humanities Education Engineering Mathematics Public Health Other

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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

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Grup dan Isomorfisma Grup pada Pyraminx Nurhafizah Nurhafizah; Nur Erawaty; Amir Kamal Amir
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 2 (2024): JANUARY 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i2.30320

Abstract

Pyraminx is a twisty puzzle in the shape of a tetrahedron with 4 sides. Pyraminx is played with the bottom completely flat and the front side facing the person holding the Pyraminx. The goal of the Pyraminx game is to randomize the colors, then return the scrambled colors to their original color positions by rotating the sides. This research does not discuss the most effective way of solving Pyraminx but focuses more on proving that movements in Pyraminx form group and that there is a group isomorphism from the group of Pyraminx movements to the  symmetry permutation subgroup in Pyraminx. First, it is proved that movements in Pyraminx form group using 2 methods, namely direct proof in Pyraminx (Pyaminx movement group) and performing permutations in set   containing numeric labels in the form of numbers 1 to 36 on Pyraminx facets by following the movements of Pyraminx ( symmetry permutation subgroup). Furthermore, it is proved that there is a group isomorphism from the Pyraminx movement group to the   symmetry permutation subgroup in Pyraminx.
Co-Authors Aidawayati Rangkuti Andi Galsan Mahie Hendra Hendra Muh. Nur Nur Erawaty Nurhafizah Nurhafizah RR. Ella Evrita Hestiandari